(Solved):   Find the Transfer Function of the system modeled by the following differential equation: \ ...

 

Find the Transfer Function of the system modeled by the following differential equation: \[ \frac{d^{3} y(t)}{d t^{3}}+3 \frac{d^{2} y(t)}{d t^{2}}+2 \frac{d y(t)}{d t}=\frac{d^{2} x(t)}{d t^{2}}+3 x(t) \] Select one: \[ H(s)=\frac{s^{2}+3}{s^{3}+3 s^{2}+2 s} \] \[ H(s)=\frac{s^{3}+3 s^{2}+2 s}{s^{2}+3} \] \[ H(s)=\frac{s^{2}+3}{s^{2}+3 s^{2}+2} \] \[ H(s)=\frac{s^{2}+3 x}{s^{3}+3 s^{2}+2 x} \]